Question

Ken is building a table. He attached planks of wood and now wants to build a border around the planks. The area of the entire table should be no larger than 3,276 square inches. All together, the planks are 36 inches wide and 72 inches long. Which quadratic equation represents the area of the planks and border combined? (The border must have equal width on each side.)
4x2 + 216x + 2,592 = 0
4x2 + 216x − 684 = 0
2x2 + 216x − 3,276 = 0
x2 + 108x + 3,276 = 0

Answer 1

4x^2+216x-684

Answer 2

4x^2 is the area of the corners of the border. 216x is the rest of the area of the border. The plank area is 2592 and we subtract total area to get -684

Answer 3

216x=2*72x+2*36x=144x+72x=216x